Details

Time bar (total: 17.1s)

sample74.0ms

Algorithm
intervals
Results
30.0ms363×body80valid
9.0ms129×body80nan

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01215
12415
24813
39513
423913
571813
6274513
done500013

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 10.0 k))
0.0b
(* a (pow k m))
0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
1.7b
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
14×add-sqr-sqrt
11×add-cbrt-cube add-log-exp
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×prod-exp
4×pow1 unpow-prod-down div-exp sum-log
3×flip3-+ times-frac associate-*l* associate-/r* flip-+ unswap-sqr
2×cbrt-undiv +-commutative pow-to-exp pow-exp associate-/r/ cbrt-unprod sqr-pow
1×associate-+l+ frac-2neg clear-num *-commutative div-inv associate-/l*
Counts
4 → 74
Calls
4 calls:
6.0ms
(+ 1.0 (* 10.0 k))
13.0ms
(* a (pow k m))
40.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
41.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ 1.0 (* 10.0 k))
71.0ms
(* a (pow k m))
29.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
185.0ms
(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify1.1s

Counts
86 → 86
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01711264
14511098
21536988
done5001938

prune370.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 1.0 (* 10.0 k)) (* k k))
0.0b
(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
16.3b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.3b
(sqrt (+ 1.0 (* k (+ 10.0 k))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×sqrt-prod
55×add-sqr-sqrt
53×add-cube-cbrt *-un-lft-identity
20×add-exp-log sqrt-div
16×associate-/r/
13×add-cbrt-cube
12×associate-/l*
11×flip3-+ flip-+
9×div-exp add-log-exp
8×div-inv
6×pow1 associate-/r*
5×cbrt-undiv
3×prod-exp sum-log
2×rem-sqrt-square sqrt-pow1 pow1/2
1×+-commutative pow-to-exp associate-+l+ frac-2neg pow-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 154
Calls
4 calls:
28.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
52.0ms
(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
41.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
6.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (+ 1.0 (* 10.0 k)) (* k k))
197.0ms
(/ (/ (* a (pow k m)) (sqrt (+ 1.0 (* k (+ 10.0 k))))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
62.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
70.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))

simplify1.4s

Counts
166 → 166
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03115835
17834686
224944359
done50014226

prune678.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize33.0ms

Local error

Found 4 expressions with local error:

16.3b
(sqrt (+ 1.0 (* k (+ 10.0 k))))
16.8b
(cbrt (+ (* k (+ 10.0 k)) 1.0))
16.8b
(cbrt (+ (* k (+ 10.0 k)) 1.0))
16.8b
(cbrt (+ (* k (+ 10.0 k)) 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
11.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
19.0ms
(cbrt (+ (* k (+ 10.0 k)) 1.0))
19.0ms
(cbrt (+ (* k (+ 10.0 k)) 1.0))
20.0ms
(cbrt (+ (* k (+ 10.0 k)) 1.0))

series568.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (+ 1.0 (* k (+ 10.0 k))))
144.0ms
(cbrt (+ (* k (+ 10.0 k)) 1.0))
148.0ms
(cbrt (+ (* k (+ 10.0 k)) 1.0))
206.0ms
(cbrt (+ (* k (+ 10.0 k)) 1.0))

simplify2.0s

Counts
66 → 66
Iterations

Useful iterations: 3 (770.0ms)

IterNodesCost
01161113
12681052
2742973
32541951
done5001951

prune509.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (* a (pow k m)) (cbrt (pow (sqrt (+ (* k (+ 10.0 k)) 1.0)) 3))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
16.3b
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.3b
(sqrt (+ (* k (+ 10.0 k)) 1.0))
21.7b
(cbrt (pow (sqrt (+ (* k (+ 10.0 k)) 1.0)) 3))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
144×cbrt-prod
138×sqrt-prod
118×add-sqr-sqrt
116×add-cube-cbrt *-un-lft-identity
48×unpow-prod-down cube-prod
27×associate-/l*
22×sqrt-div
20×add-exp-log
16×cube-div cbrt-div associate-/r/
11×flip3-+ add-cbrt-cube flip-+
9×div-exp
8×cube-mult unpow3 div-inv sqr-pow
6×pow1 associate-/r*
5×cbrt-undiv
4×add-log-exp
3×prod-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow-to-exp frac-2neg pow1/3 pow-exp clear-num rem-cbrt-cube cbrt-unprod associate-/l/
Counts
4 → 275
Calls
4 calls:
137.0ms
(/ (/ (* a (pow k m)) (cbrt (pow (sqrt (+ (* k (+ 10.0 k)) 1.0)) 3))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
30.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
20.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
39.0ms
(cbrt (pow (sqrt (+ (* k (+ 10.0 k)) 1.0)) 3))

series368.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(/ (/ (* a (pow k m)) (cbrt (pow (sqrt (+ (* k (+ 10.0 k)) 1.0)) 3))) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
55.0ms
(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
76.0ms
(sqrt (+ (* k (+ 10.0 k)) 1.0))
69.0ms
(cbrt (pow (sqrt (+ (* k (+ 10.0 k)) 1.0)) 3))

simplify1.7s

Counts
287 → 287
Iterations

Useful iterations: done (1.7s)

IterNodesCost
042612164
19868275
230237558
done50007369

prune907.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.7b

regimes118.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11615
done1615

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s11970×body80valid
282.0ms4494×body80nan